Premium
A new efficient mixed formulation for thin shell finite element models
Author(s) -
Rhiu J. J.,
Lee S. W.
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240309
Subject(s) - shell (structure) , finite element method , stiffness matrix , element (criminal law) , node (physics) , matrix (chemical analysis) , mixed finite element method , stiffness , degenerate energy levels , mathematics , mathematical analysis , structural engineering , engineering , physics , materials science , mechanical engineering , composite material , quantum mechanics , political science , law
A nine node shell element is developed by a new and more efficient mixed formulation. The new shell element formulation is based on the Hellinger–Reissner principle with independent strain and the concept of a degenerate solid shell. The new formulation is made more efficient in terms of computing time than the conventional mixed formulation by dividing the assumed strain fields into a lower order part and a higher order part. Numerical results demonstrate that the present nine node element is free of locking even for very thin plates and shells and is also kinematically stable. In fact the stiffness matrix associated with the higher order assumed strain plays the role of a stabilization matrix.